General linear dynamics - quantum, classical or hybrid

Understand

We describe our recent proposal of a path integral formulation of classical Hamiltonian dynamics.

• Which leads us here to a new attempt at hybrid dynamics, which concerns the direct coupling of classical and quantum mechanical degrees of freedom.
• This is of practical as well as of foundational interest and no fully satisfactory solution of this problem has been established to date.
• Related aspects will be observed in a general linear ensemble theory, which comprises classical and quantum dynamics in the form of Liouville and von Neumann equations, respectively, as special cases.